A Novel Deterministic Chaos and Discrete Random Processes

2020-09-16
Akhmet, Marat
Show full item record
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
157
views
0
downloads
© 2020 ACM.A new concept, domain-structured chaos, is introduced and connection between stochastic dynamics and deterministic chaos is established. A randomly determined discontinuous unpredictable functions illustrates the presence of chaos.
Discrete time random processes, Domain-structured chaos, Poincare chaos, Self-similarity, Unpredictable functions
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85098163066&origin=inward
https://hdl.handle.net/11511/98828
12th International Conference on Information Management and Engineering, ICIME 2020
Department of Mathematics, Conference / Seminar

Suggestions

A fluid dynamics framework for control of mobile robot networks
Paç, Muhammed Raşid; Erkmen, Aydan Müşerref; Department of Electrical and Electronics Engineering (2007)
This thesis proposes a framework for controlling mobile robot networks based on a fluid dynamics paradigm. The approach is inspired by natural behaviors of fluids demonstrating desirable characteristics for collective robots. The underlying mathematical formalism is developed through establishing analogies between fluid bodies and multi-robot systems such that robots are modeled as fluid elements that constitute a fluid body. The governing equations of fluid dynamics are adapted to multi-robot systems and a...
A state prediction scheme for discrete time nonlinear dynamic systems
Demirbaş, Kerim (Informa UK Limited, 2007-01-01)
A state prediction scheme is proposed for discrete time nonlinear dynamic systems with non-Gaussian disturbance and observation noises. This scheme is based upon quantization, multiple hypothesis testing, and dynamic programming. Dynamic models of the proposed scheme are as general as dynamic models of particle predictors, whereas the nonlinear models of the extended Kalman (EK) predictor are linear with respect to the disturbance and observation noises. The performance of the proposed scheme is compared wi...
A neuro-fuzzy MAR algorithm for temporal rule-based systems
Sisman, NA; Alpaslan, Ferda Nur; Akman, V (1999-08-04)
This paper introduces a new neuro-fuzzy model for constructing a knowledge base of temporal fuzzy rules obtained by the Multivariate Autoregressive (MAR) algorithm. The model described contains two main parts, one for fuzzy-rule extraction and one for the storage of extracted rules. The fuzzy rules are obtained from time series data using the MAR algorithm. Time-series analysis basically deals with tabular data. It interprets the data obtained for making inferences about future behavior of the variables. Fu...
A new real-time suboptimum filtering and prediction scheme for general nonlinear discrete dynamic systems with Gaussian or non-Gaussian noise
Demirbaş, Kerim (Informa UK Limited, 2011-01-01)
A new suboptimum state filtering and prediction scheme is proposed for nonlinear discrete dynamic systems with Gaussian or non-Gaussian disturbance and observation noises. This scheme is an online estimation scheme for real-time applications. Furthermore, this scheme is very suitable for state estimation under either constraints imposed on estimates or missing observations. State and observation models can be any nonlinear functions of the states, disturbance and observation noises as long as noise samples ...
A new algorithm and computation approach for economic dispatch with prohibited operating zones in power systems
Cetinkaya, N; Urkmez, A; Erkmen, İsmet; Yalcinoz, T (2005-01-01)
This paper presents a new algorithm and computation approach to solve the economic load dispatch (ELD) in electrical power systems. We applied a new power formula to solve the LLD problem. If production units cost Curves are represented property then ELD becomes More Correct. In this respect we assumed that production units have prohibited operating zones. Cost curves of the production units are generally accepted as piece-wise quadratic function. The power production is cheaper since we do not use the prod...
Citation Formats
M. Akhmet, “A Novel Deterministic Chaos and Discrete Random Processes,” presented at the 12th International Conference on Information Management and Engineering, ICIME 2020, Virtual, Online, Hollanda, 2020, Accessed: 00, 2022. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85098163066&origin=inward.
METU IIS - Integrated Information Service open@metu.edu.tr